DEQ’s, Slope Fields, and Euler’s Method: HW!!

1. , y(-1) = 0

2. , y(0) = 2

3. , y(o) = 0

4. , y’’(1) = 2, y’(1) = 3, y(1) = 1

5. Consider the diferential equation

Calculate approximate y-values using Euler’s method with three steps and x = 0.1, starting at each of the following points: (0,2) ; (0, 3.14)

6. Use Euler’s method to approximate the value of y at x=1 on the solution curve to the differential equation

that passes through (0,0). Use x = 1/5 (i.e. 5 steps)